Overview
Exercise 15
MCQ’s
Unit 15 of Class 9 Mathematics focuses on the Pythagoras Theorem, a fundamental principle in geometry. This theorem is pivotal in understanding the relationship between the sides of a right-angled triangle.
Key Concepts:
- Definition: The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. This is mathematically represented as:c2=a2+b2c^2 = a^2 + b^2c2=a2+b2where ccc is the hypotenuse, and aaa and bbb are the other two sides.
- Applications: The theorem has practical applications in various fields such as architecture, engineering, and navigation, helping in calculations involving distances and measurements.
- Proof: The unit typically includes a geometric proof of the theorem, helping students understand why it is valid.
- Problem Solving: Students learn to solve various problems using the theorem, enhancing their critical thinking and analytical skills.
This unit provides a solid foundation for further studies in geometry and is essential for understanding more complex mathematical concepts.